Answer:
Therefore the sum if the series is 15.98!The common ratio is 1/2 or 0.5 . If you multiply the current term by the the common ratio the the output will be the next term.
8⋅1/2=4
4⋅1/2=2
2⋅1/2=1 etc ...
because the absolute value of r is less than 1 we can use the following formula.
a/1−r where a is the first term and r is the common ratio
In our problem
a=8 and r=0.5
Substitute
8/1−0.5=8/0.5=16
The sum of this infinite geometric series is 16.
Also, another formula you can use that is guaranteed to work every time, no matter what, is:
Sn=a(r^n−1/r−1)
All the variables work the same way as above, and "n" is the number of terms in the series. So, say you wanted to find the sum of the first 10 terms and were to substitute everything in:
S10=8(0.5^10−1/0.5−1)
S10=15.984375
Therefore the sum if the series is 15.98!
Step-by-step explanation:
Hope it is helpful....how do you write 8.683 as a percentage?
Answer:
868.3%
Step-by-step explanation:
8.683 x 100 = 868.3%
Answer: 868.3%
All you need to do to convert a decimal to a percentage is multiply by 100. In this case we have to multiply 8.683 by 100 which gives us 868.3%
I need help plz anyone
Answer:
e
Step-by-step explanation:
Find the area of the triangle
Answer:
15 cm^2
Step-by-step explanation:
area = b x h / 2
6 x 5 / 2
6 x 5 = 30
30 / 2 = 15
Anthony went shopping for a new pair of pants because of a sale. The store was offering a 5% discount. If the price on the tag was $32, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answer:
$30.4
Step-by-step explanation:
fist we figure out what 5% of 32 is which is 1.6 then we subtract it from the total cost 32 - 1.6 = 30.4
Which trinomials are perfect square trinomials?
Select each correct answer.
O y2 + 18y + 81
O y2 + 20y + 100
O y2 + 25y + 200
Oy + 6y + 36
the diagram shows the distance between city P and city S and city T. which measurement is closest to x, than the distance between city P and city T in miles?
Answer:
1352 miles
Step-by-step explanation:
since city t, s, and P make a right angle we can use the Pythagorean theorem to find the hypotenuse (distance from t to p) 1180 squared=1,392,400 and 660 squared =435,600 so now we add them together and take its square root which is 1352.0
I need help very fast please!
Kate writes an algebraic expression using each of the variables x and y only once. they first expression she writes uses x and y as factors. Than she writes another expression that uses x and y as terms. if x and y are both negative integers, write a comparison between the two expressions
Choice A: More information is needed.
Choice B: Using x and y factor results in an expression of greater value than using x and y as terms.
Choice C: None of the other answers are correct.
Choice D: The two expressions are of equal value.
Answer:
B: Using x and y factor results in an expression of greater value than using x and y as terms.
Step-by-step explanation:
For her first expression, x and y are factors;
xy
For her second expression, x and y are written as terms;
x + y
For x and y are both negative integers, then;
-x * -y = xy ............... 1
-x + (-y) = - x - y
= - (x + y) .............. 2
Therefore, the value of x and y factors is greater than that when x and y are as terms. Thus the correct option is B.
Apply the Pythagorean Theorem to find the distance between points A and C
A: 29 units
B: 40 units
C: 58 units
D: 116 units
Answer:
c 116
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
The price ( p) of a school lunch is 8:50 The restaurant increases the price by 12% which statement is true for this situation
Answer:
B
Step-by-step explanation:
1 is 100% so increasing it by 12% means adding 0.12 to it
What is the area of a circle that has a radius of 10 inches? Use the formula π r 2
Answer:
314in²
Step-by-step explanation:
Given : Radius of the circle r=10 inches
A = 3.14 x 10²
A = 3.14 x 100
A = 314in²
Evaluate the expression when y = 6 and x = 9
x+8y
Answer:
57
Step-by-step explanation:
9+8(6)
9+48
57
Answer:
57
Step-by-step explanation:
8*6=48
9+48=57
Solve the following system.
y = -2x^2 + 3x - 1 and x + y = -1.
The solutions are
and
Given:
The equations of a system of equations are
[tex]y=-2x^2+3x-1[/tex]
[tex]x+y=-1[/tex]
To find:
The solution of the given system of equations.
Solution:
We have,
[tex]y=-2x^2+3x-1[/tex] ...(i)
[tex]x+y=-1[/tex] ...(ii)
Using (i) and (ii), we get
[tex]x+(-2x^2+3x-1)=-1[/tex]
[tex]x-2x^2+3x-1+1=0[/tex]
[tex]-2x^2+4x=0[/tex]
Taking out the common factors.
[tex]2x(-x+2)=0[/tex]
Using zero product property,we get
[tex]2x=0[/tex] and [tex]-x+2=0[/tex]
[tex]x=0[/tex] and [tex]2=x[/tex]
For x=0, we have
[tex]0+y=-1[/tex]
[tex]y=-1[/tex]
For x=2, we have
[tex]2+y=-1[/tex]
[tex]y=-1-2[/tex]
[tex]y=-3[/tex]
Therefore, the two solutions of the given system of equations are (0,-1) and (2,-3).
HELP SOMEONE PLEASEEE
Answer:
It is the first answer choice
pls I need the answer with steps
Answer:
x = - 3.75
y = 28.75
Step-by-step explanation:
[tex] \begin{cases} x + y = 25\\\\ 5x + y = 10 \end{cases} [/tex]
Since, x + y = 25
Therefore, y = 25 - x..... (1)
5x + y = 10......(2)
Plug y = 25 - x in equation (2), we find:
5x + 25 - x = 10
5x - x = 10 - 25
4x = - 15
x = - 15/4
x = - 3.75
Plug x = - 3.75 in equation (1), we find:
y = 25 - (- 3.75)
y = 25 + 3.75
y = 28.75
(x, y) = (-3.75, 28.75)
I need help pleaseee
Answer:Median
Step-by-step explanation:
Answer:
the answer is range
Step-by-step explanation:
sorry if i am wrong
Find 5 less than 17.
I really need the answer to this so I can pass
Answer:
b
Step-by-step explanation:
Allison runs for 1 3/4 minutes and travels 1/5 mile. What is her speed in miles per minute?
Which of the following rational functions is graphed below?
Answer:
B
Step-by-step explanation:
The function's zeroes results in vertical asymptotes. As one is at x = 1 and the other at x = -2, the zeroes must be (x-1) and (x+2), which only B contains in the numerator.
The length of a guys wire supporting a cell tower is 120 meters. The guy wire is anchored to the ground at a distance of 80 meters from the base of the tower . To the nearest hundredth of a meter , how tall is the tower ?
Answer: 89.4427
Step-by-step explanation: I apologize if I am wrong; I used Pythagorean Thyreom, and I used the formula a=√c^2-b^2 since we are solving for side a.
a=√120^2−80^2
a=√14400−6400
a=√8000
a=89.4427
I hope this is what you are looking for :)
Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the height of the tower is 89.44 m.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The length of a guy's wire supporting a cell tower is 120 meters.
The guy wire is anchored to the ground at a distance of 80 meters from the base of the tower.
We know that the Pythagoras theorem.
[tex]\rm H^2 = P^2 + B^2[/tex]
We have
H = 120 m
B = 80 m
Then by the Pythagoras theorem, we have
[tex]\rm P = \sqrt{H^2 - B^2}\\\\P = \sqrt{120^2 - 80^2}\\\\P = \sqrt{14400 - 6400}\\\\P = \sqrt{8000} = 89.44[/tex]
Thus, the height of the tower is 89.44 m.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
The heights of all the newborns in a certain country are normally distributed,
with a mean of 19 inches and a standard deviation of 0.5 inches. A mother
just delivered a baby that is 18 inches long. Which of the following represents
the z-score of the baby's height? (Round your answer to two decimal places.)
Answer:
c
Step-by-step explanation:
Angharad is buying a new 50-inch screen TV (remember that TV screens are measured along the diagonal )
a) If it is 30 inches tall, how wide is the screen ?
b) Her TV cabinet is 30 inches wide .will the TV fit inside it ?
Answer:
a) 40 inches
b) No it will not fit inside
Step-by-step explanation:
Angharad is buying a new 50-inch screen TV (remember that TV screens are measured along the diagonal )
a) If it is 30 inches tall, how wide is the screen ?
Diagonal ² = Width² + Height²
Diagonal = 50 inches
Height = 30 inches
50² = Width² + 30²
Width² = 50² - 30²
Width = √50² - 30²
Width = √(1600)
Width = 40 inches
b) Her TV cabinet is 30 inches wide .will the TV fit inside it ?
No it will not fit inside
This is because, the width of the TV is the above calculation is 40 inches. This is wider than the width of the TV cabinet, hence, it won't fit inside
what is
10-5?
10-3+4?
5+6-3
Answer:
5
11
8
Step-by-step explanation:
Answer:
10-5=5
10-3+4=11
5+6-3=8
Step-by-step explanation:
what is the scale factor pls help
Answer:
im pretty sure its 2
Step-by-step explanation:
Answer:
4
Step-by-step explanaiton:
B is 4x bigger than A
Mrs. Higgins's was hoping to make some extra cash, so she invested 12000 in equipment to print yearbooks, each year book cost her $5 to print and she sells them for $15. how many yearbooks must she sell before she breaks even?
Answer: im pretty sure it’s the first one
Step-by-step explanation: )
The cafeteria is set up for a luncheon. There are 5 rows of tables. There are 5 tables in each row. Each table has a centerpiece with 5 vases. In each vase, there are 5 flowers. Which shows the total number of flowers in the cafeteria?
Write the word sentence as an equation. Then solve the equation. A number $k$ increased by 7 is 34. An equation that represents this word sentence is . The solution is $k=$ .
Answer: k = 27
Step-by-step explanation:
Here's the complete question:
Write the word sentence as an equation. Then solve the equation. A number k increased by 7 is 34.
An increase in k simply means that there's an addition. This will be:
k + 7 = 34
k = 34 - 7
k = 27
Therefore, the value of k is 27
Please can someone give me the answers to all three of them. THIS IS TIMED PLEASE HELP ME QUICK! (30 points)
Answer:
1. equation
2. inequality
3. inequality
Step-by-step explanation:
Remy was on vacation in New France, Canada. He went to the Ratatouille restaurant and had an excellent dinner. How much did
he pay if the dinner cost $32 and he gave a 18% tip? How much was the tip?
Answer:
See both answers in the explanation
Step-by-step explanation:
Given data
Cost of dinner= $32
TIp=18%
Let us find the amount of the tip
=18/100*32
=0.18*32
=$5.76
Hence the total amount paid is
=5.76+32
=$37.76
The Tip is
=$5.76